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- W1993296155 abstract "This paper is concerned with the existence of camel-like traveling wave solutions of cellular neural networks distributed in the one-dimensional integer lattice Z 1 . The dynamics of each given cell depends on itself and its nearest m left neighbor cells with instantaneous feedback. The profile equation of the infinite system of ordinary differential equations can be written as a functional differential equation in delayed type. Under appropriate assumptions, we can directly figure out the solution formula with many parameters. When the wave speed is negative and close to zero, we prove the existence of camel-like traveling waves for certain parameters. In addition, we also provide some numerical results for more general output functions and find out oscillating traveling waves numerically." @default.
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- W1993296155 date "2004-01-01" @default.
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- W1993296155 title "On camel-like traveling wave solutions in cellular neural networks" @default.
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- W1993296155 doi "https://doi.org/10.1016/s0022-0396(03)00135-9" @default.
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